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Math Help - Quadratic function

  1. #1
    Junior Member
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    Quadratic function

    Hey guys I was wondering if you can help me with this problem:

    The height of a punted football can be modeled with the quadratic function h= -.01x^2+1.18x+2 The horizontal distance in feet from the point of impact with the kickers foot is x, and h is the height of the ball in feet.

    1) Find the maximum height of the punt.
    2) The nearest defensive player is 5 feet horizontally from the point of impact.
    How high must the player reach to block the punt?

    For number 1 I got the height to be 36.81 feet.
    Number 2 is what I really need help on.
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  2. #2
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    Plug in x = 5 feet and find h.
    Do you see why? Use symmetry.
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  3. #3
    MHF Contributor

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    You don't need to think about symmetry. 5 feet from "impact" is precisely x= 5.
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  4. #4
    Senior Member
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    Quote Originally Posted by HallsofIvy View Post
    You don't need to think about symmetry. 5 feet from "impact" is precisely x= 5.
    I took point of impact to mean the point where the ball hits the ground.
    So the problem should've been more specific: point of impact with foot or ground
    But yeah, either way its the same answer.
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